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Finding the Third Proportional to 53,858 and 115,048

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Solution

The third proportional to 53,858 and 115,048 is: 245,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858 : 115,048 = 115,048 : x
  2. Step 2: Convert to fraction form
    53,858/115,048 = 115,048/x
  3. Step 3: Cross multiply
    53,858x = 115,048 × 115,048
  4. Step 4: Simplify right side
    53,858x = 13,236,042,304
  5. Step 5: Solve for x
    x = 13,236,042,304/53,858
  6. Step 6: Final answer
    x = 245,758.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.